Charge Rule Research Articles

X4 Tropic Virus Prediction Is Associated with a Nadir CD4 T-Cell Count below 100 Cells/mm3

Objective: The aim of this study was to evaluate tropism prediction performances of three algorithms [geno2pheno false-positive rate 10% (G2P10), position-specific scoring matrix (PSSM) and a combination of the 11/25 and net charge rules] and to investigate the viral and host factors potentially involved in the X4 or R5 prediction in human immunodeficiency virus-1 (HIV-1) patients. Methods: Viral tropism was determined in 179 HIV-1-infected patients eligible for CCR5 antagonist therapy. HIV-1 RNA or DNA was extracted and amplified for env gp120 sequencing. In parallel, demographic, viral, immunological and clinical determinants were analyzed. Results: According to the G2P10 algorithm, 48 patients harbored X4 or X4R5 virus. The tropism prediction was concordant for 87.7 and 88.2% of samples when comparing G2P10 with PSSM or with a combination of the 11/25 and net charge rules, respectively. X4 prediction was significantly associated with more than 35 amino acids in the V3 domain (p < 0.0001) and loss of an N-linked glycosylation site (p < 0.0001). Of the factors studied, only the nadir CD4 T-cell count was significantly associated with X4 tropism (p = 0.01). Conclusion: We determined that the X4 virus detection is closely linked to the nadir CD4 T-cell count below 100 cells/mm³ that must be taken into account when considering a CCR5 antagonist therapy switch.

A NOVEL ARCHITECTURAL FRAMEWORK FOR AGGREGATED SUBSCRIBER PROFILE

Subscriber/User’s data in a Communication Service Provider’s (CSP) Environment spread across different "silo type" Network Elements (subscriber data sources) and systems such as Customer Relationship Management System (CRM), Home Location Register/Visitor Location Register (HLR/VLR), Home Subscriber Server (HSS), Policy Charging Rules Function (PCRF), Business Support System/Operation Support System (BSS/OSS). The proliferation of convergent telecom applications and value added services necessitates CSPs to be equipped with unified subscriber data management systems to enable Application Service Providers and Enterprises to build and offer subscriber oriented applications and services. Rapid service development warrants the need for general inter-faces for subscriber data access rather than multiple traditional data access interfaces and associated complexities. The Proposed Aggregated Subscriber Profile Architectural Framework abstracts the Network Elements and integration complexities by providing aggregated profile to 3rd party applications. The proposed Architectural Framework is based on Data Oriented Architecture (DOA), Service Oriented Architecture principles. Proof of concept implementation details along with performance results for a typical aggregated data model defined based on previous experiences, discussed.

Water markets in the Murray-Darling Basin

The paper reviews the history of water markets and recent water reforms in the Murray-Darling Basin (MDB), Australia. A detailed examination of water markets in the MDB is given with a focus on: water charge and trading rules, trade restrictions, gains from trade, water market information, inter-temporal market price responses, and the environmental benefits of trade. Twelve lessons from the development of water markets in the MDB are provided to assist decision-makers interested in establishing or improving water markets in Australia, and beyond.

A Home Agent Initiated Handover Solution for Fine-Grained Offloading in Future Mobile Internet Architectures

The currently standardized IP Flow Mobility (IFOM) solution in 3GPP is strictly User Equipment (UE) centric as the operator must firstly deliver the flow routing policies to the UE, and then the UE must provide these policies to the Packet Data Network Gateway (PGW). Network-based (NB) solutions try to eliminate the above limitations and create an operator centric flow management framework. This paper is committed to give an overview of existing offloading techniques, to introduce the power of network-based solutions, and to propose a MIPv6/DSMIPv6 based NB-IFOM scheme relying on Home Agent initiated flow binding and aiming to enable operators to enforce IP flow routing policies without involving the UE first, such making able the PCRF (Policy and Charging Rules Function) to decide on the flow routing policy based on e.g., the available resources in the network, before signaling the policies to the UE. The authors have implemented their proposal, and performed an extensive evaluation in a hybrid real-emulated tested environment.

Quality of Service Drivers in LTE and LTE-A Networks

In the last years, cellular operators have experienced a rapid growth of mobile broadband subscribers and traffic volume per subscriber. At the same time, operators are moving from a single to a multi-service offering by adding new services such as multimedia telephony and mobile-TV. In this challenging scenario, the Quality of Service (QoS) concept provides network and service operators with a set of tools to enable service and subscriber differentiation. This paper presents an overview of the QoS drivers in Long-Term Evolution (LTE) and LTE-Advanced (LTE-A) networks, focusing on their QoS policy control capabilities. Proposals of policy control and management for increasing the QoS in LTE and LTE-A networks are described. This paper also includes a detailed list and analysis of the inputs to the Policy and Charging Rules Function (PCRF) that can be used for policy decision as well as a set of use cases involving the Policy and Charging Control architecture: (1) the analysis of a potential cooperation between the PCRF and a Deep Packet Inspector, and (2) the analysis of a potential interaction between the PCRF and the radio scheduler to provide a consistent end-to-end QoS.

High levels of divergent HIV-1 quasispecies in patients with neurological opportunistic infections in China

Despite the fact that the survival of people infected with human immunodeficiency virus (HIV) has improved worldwide because of the increasingly powerful and highly active antiretroviral therapy, opportunistic infections (OIs) of the central nervous system (CNS) remain a serious burden. HIV-1 is capable of entering the CNS through infected peripheral monocytes, but its effect on OIs of CNS remains unclear. In this study, we investigated the characteristics of HIV-1 in acquired immunodeficiency syndrome (AIDS) patients with CNS OIs. A total of 24 patients with CNS OIs and 16 non-CNS OIs (control) cases were selected. These AIDS patients were infected with HIV-1 by paid blood donors in China. HIV-1 loads in plasma and cerebrospinal fluid (CSF) were detected using RT-PCR, and the C2-V5 region of HIV-1 envelope gene was amplified from viral quasispecies isolated from CSF using nested PCR. The CSF HIV-1 load of CNS OIs was higher than that of non-CNS OIs, but plasma HIV-1 load of CNS OIs was not higher than that of non-CNS OIs. The nucleotide sequence of C2-V5 region of the HIV-1 quasispecies isolated from the CSF of CNS OIs had a high diversity, and the HIV-1 quasispecies isolated from the CSF of CNS OIs revealed R5 tropism as 11/25 charge rule. These results suggest that high levels of divergent HIV-1 quasispecies in the CNS probably contribute to opportunistic infections.

WiMAX 정책 제어 시스템의 정보 동기화

In the Policy and Charging Control(PCC) architecture of the 3GPP and WiMAX forum, the Policy and Charging Rule Function(PCRF) controls and configures the policies of quality of services(QoS) and accounting to a Policy and Charging Rule Enforcement Function(PCEF). In this paper, we categorize the errors into three types that include a disconnection with peer entity, a delayed or no response and a response with failure result, and propose a scheme to automatically synchronize the data between the PCRF and the PCEF for each type of error. Also, we conduct a quantitative analysis to see how much it can help to maintain the cell capacity of the mobile VoIP service in a WiBro network, which is implemented in Korea according to the standards of WiMAX. We can see that our proposed scheme improves the performances of PCC by preventing the waste of radio resources, the overload of systems, the memory leakage of servers, the system shutdown, and so on. We have validated the scheme by implementation, and reflected it in WiMAX standard documents.

Determination of the High Prevalence of Dual/Mixed- or X4-Tropism Among HIV Type 1 CRF01_AE in Hong Kong by Genotyping and Phenotyping Methods

In Hong Kong, the CCR5 antagonist has recently been introduced into salvage therapy for multiclass drug-resistant HIV-1-infected patients. Coreceptor usage must be determined prior to the usage of the CCR5 antagonist, which does not inhibit X4-tropic viruses. This study aimed to determine the tropism prevalence for HIV-1 subtypes B and CRF01_AE in Hong Kong. In addition, a modified promoter-PCR phenotypic assay was used to validate the genotypic tropism prediction on CRF01_AE. One hundred and five subtype B and 98 CRF01_AE antiretroviral-naive patients were recruited for this study. The viral env V3 region isolated from the patients was sequenced and analyzed by Geno2pheno (FPR=5.75% or 10%, Clonal or Clinical), position-specific scoring matrix (WebPSSM, x4r5 subtype B matrix), and the combination of 11/25 and net charge rules. Fifteen concordant and 22 discordant tropism genotyped CRF01_AE samples were further phenotyped by either enhanced sensitivity Trofile assay or an optimized promoter-PCR phenotypic assay. The prevalence of Dual/Mixed- or X4-tropic virus in antiretroviral-naive subtype CRF01_AE was 39.1%, which was significantly higher than subtype B (p<0.05), regardless of the choices of genotypic algorithms. Our phenotypic data proposed that a better genotypic tropism prediction for HIV-1 CRF01_AE would be using both Geno2pheno (FPR=10%, Clonal) and WebPSSM (x4r5 subtype B matrix) algorithms in combination. The sensitivity and specificity for this combination were 88.9% and 89.3%, respectively. The comparatively high prevalence of Dual/Mixed- or X4-tropic virus in CRF01_AE demonstrated the need for special attention to future treatment strategies.

Genotypic Prediction of HIV-1 CRF01-AE Tropism

HIV-1 subtype CRF01-AE predominates in south Asia and has spread throughout the world. The virus tropism must be determined before using CCR5 antagonists. Genotypic methods could be used, but the prediction algorithms may be inaccurate for non-B subtypes like CRF01-AE and the correlation with the phenotypic approach has not been assessed. We analyzed 61 CRF01-AE V3 clonal sequences of known phenotype from the GenBank database. The sensitivity of the Geno2pheno10 genotypic algorithm was 91%, but its specificity was poor (54%). In contrast, the combined 11/25 and net charge rule was highly specific (98%) but rather insensitive (64%). We thus identified subtype CRF01-AE determinants in the V3 region that are associated with CXCR4 use and developed a new simple rule for optimizing the genotypic prediction of CRF01-AE tropism. The concordance between the predicted CRF01-AE genotype and the phenotype was 95% for the clonal data set. We then validated this algorithm by analyzing the data from 44 patients infected with subtype CRF01-AE, whose tropism was determined using a recombinant phenotypic entry assay and V3-loop bulk sequencing. The CRF01-AE genotypic tool was 70% sensitive and 96% specific for predicting CXCR4 use, and the concordance between genotype and phenotype was 84%, approaching the concordance obtained for predicting the tropism of HIV-1 subtype B. Genotypic predictions that use a subtype CRF01-AE-specific algorithm appear to be preferable for characterizing coreceptor usage both in pathophysiological studies and for ensuring the appropriate use of CCR5 antagonists.

Genotypic prediction of HIV‐1 subtype CRF01‐AE tropism

Purpose of the studyDetermination of HIV‐1 coreceptor usage is crucial for the clinical management of HIV‐infected patients and for optimizing patient selection prior to coreceptor antagonist use. HIV‐1 subtype CRF01‐AE predominates in south and south‐east Asia and has spread all around the world. As for other subtypes, the HIV‐1 subtype CRF01‐AE tropism must be assessed before CCR5 antagonists’ usage. Genotypic methods would be useful for tropism determination but their correlation with the phenotypic approach has not been assessed.MethodsWe determined the HIV‐1 coreceptor usage in 44 subjects infected with subtype CRF01‐AE by both a recombinant phenotypic entry assay and sequencing of the V3 region to determine the correlation between them.Summary of resultsWe first used genotypic algorithms currently used for subtype B HIV‐1. The sensitivity of the Geno2pheno10 genotypic algorithm was 75% but the specificity was poor (46%). In contrast, the sensitivity of the combined 11/25 and net charge rule was poor (50%) but the specificity was 96%. We used a GenBank clonal data set of 69 CRF01‐AE V3 sequences of viruses with known phenotype to identify subtype CRF01‐AE determinants in the V3 region associated with CXCR4 use and built a new simple genotypic rule for optimizing the genotypic prediction of CRF01‐AE tropism. The data showed that loss of the N‐linked glycosylation site at the beginning of V3 was an independent determinant of CXCR4 use by the CRF01‐AE virus clones. The new genotypic tool based on the 11/25, net charge and glycosylation site mutation criteria was 96% concordant with the phenotype on the GenBank clonal data set. Lastly, this algorithm has been validated using our patients’ data set in which the sensitivity was 70% and the specificity was 96% for predicting CXCR4 use.ConclusionsThe concordance between genotype and phenotype was 84% when using the CRF01‐AE genotypic tool, approaching the concordance obtained for the tropism prediction of HIV‐1 subtype B. The genotypic prediction of HIV‐1 subtype CRF01‐AE coreceptor usage requires an optimized genotypic tool for a safely use of CCR5 antagonists.

Frequency of CXCR4-using viruses in primary HIV-1 infections using ultra-deep pyrosequencing

We used ultra-deep pyrosequencing and the Toulouse Tropism Test phenotypic assay to determine the prevalence of CXCR4-using viruses in 21 patients with primary HIV-1 infections. We found X4-containing virus populations in 9% of patients by ultra-deep pyrosequencing using position-specific scoring matrices (PSSM(X4/R5)) or geno2pheno(5.75) and in 14% using the combined 11/25 and net charge rule. The phenotypic assay identified 9% of CXCR4-using viruses. This confirms that R5 viruses are predominant in primary HIV-1 infections.

SPR proxy mechanism for 3GPP Policy and Charging Control System

3GPP has standardized its Policy and Charging Control (PCC) system to provide dynamic policy control combined with real-time charging. The specific guidance on how PCC signaling delay can be reduced in session setup has not been explored in 3GPP standard. To bridge this gap, we propose an SPR proxy mechanism to shorten the PCC record retrieval delay which occurs between two PCC nodes: the Policy and Charging Rule Function (PCRF) and the Subscription Profile Repository (SPR). Our proposed SPR proxy is implemented at the PCRF to store the serving users’ PCC records retrieved from the SPR. Once the PCC records are updated by the subscribers, the SPR needs to refresh the SPR proxy in order to retain the record validity. If the PCC record updates in the SPR occur more frequently than the PCC record accesses performed by the PCRF, the SPR will generate many unnecessary refresh operations. The objective of this paper is to propose two delayed refresh schemes to be used alongside the SPR proxy for refresh suppression. Our schemes can dynamically adjust the delayed refresh timer according to the multi-user update rate of PCC records in the SPR. An analytical model and extensive simulation are developed to investigate the SPR proxy performance in terms of the proxy validity and the expected number of refreshes saved. Numerical results show that our SPR proxy mechanism with delayed refresh can significantly shorten the PCC-based session setup delay without significantly diminishing the proxy validity of PCC records.

Genotypic prediction of HIV-1 subtype D tropism

BackgroundHIV-1 subtype D infections have been associated with rapid disease progression and phenotypic assays have shown that CXCR4-using viruses are very prevalent. Recent studies indicate that the genotypic algorithms used routinely to assess HIV-1 tropism may lack accuracy for non-B subtypes. Little is known about the genotypic determinants of HIV-1 subtype D tropism.ResultsWe determined the HIV-1 coreceptor usage for 32 patients infected with subtype D by both a recombinant virus phenotypic entry assay and V3-loop sequencing to determine the correlation between them. The sensitivity of the Geno2pheno10 genotypic algorithm was 75% and that of the combined 11/25 and net charge rule was 100% for predicting subtype D CXCR4 usage, but their specificities were poor (54% and 68%). We have identified subtype D determinants in the V3 region associated with CXCR4 use and built a new simple genotypic rule for optimizing the genotypic prediction of HIV-1 subtype D tropism. We validated this algorithm using an independent GenBank data set of 67 subtype D V3 sequences of viruses of known phenotype. The subtype D genotypic algorithm was 68% sensitive and 95% specific for predicting X4 viruses in this data set, approaching the performance of genotypic prediction of HIV-1 subtype B tropism.ConclusionThe genotypic determinants of HIV-1 subtype D coreceptor usage are slightly different from those for subtype B viruses. Genotypic predictions based on a subtype D-specific algorithm appear to be preferable for characterizing coreceptor usage in epidemiological and pathophysiological studies.

Characterization of HIV Type 1 env Gene in Cerebrospinal Fluid and Blood of Infected Chinese Patients

HIV infection in the central nervous system (CNS) can progress to AIDS dementia complex; currently, little information on the characterization of the HIV-1 env gene from the CNS is available in infected Chinese patients. In the study, the C2-V5 regions of the HIV envelope gene were cloned and sequenced from both cerebrospinal fluid (CSF) and blood samples of five infected Chinese patients. Sequence analysis revealed that the sequences from Yunan province clustered closely with subtypes CRF07_BC, CRF08_BC, and C, and the sequences from blood showed a significantly higher divergence from those from the CSF. In addition, as predicted by the 11/25 charge rule and geno2pheno program, most of the HIV viral quasispecies from both CSF and blood use CCR5 as coreceptor. These data provide valuable information on a detailed evaluation of the pathogenesis of HIV infection in different tissues of Chinese HIV-infected patients, and our findings would be helpful for the design of vaccines and therapy strategies.

Variabilidad en la determinación del tropismo viral del VIH utilizando diferentes algoritmos genotípicos de interpretación en pacientes VIH-1 infectados con subtipos B versus no-B

Genotypic tools based on the analysis of the V3 region are seen as an alternative to phenotypic assays for viral tropism determination before prescribing maraviroc. The concordance between different genotypic algorithms has been evaluated in HIV+ patients infected with B versus non-B subtypes. HIV-infected patients on regular follow up at Hospital Universitario de Santiago de Compostela (Spain) were selected. The env-V3 region was sequenced from plasma samples and viral tropism was estimated using 8 different genotypic algorithms. Concordance among predictors was statistically evaluated by the calculation of the kappa index. Phylogenetic analyses were performed to determine the genetic subtype. A total of 92 HIV-infected patients were selected, 72 B and 20 non-B subtypes. Regarding the B subtype group, significant kappa values were obtained among all 28 possible combinations between the genotypic predictors evaluated. The best concordance among non-related predictors was observed for webPSSM(SINSI)/Wetcat(PART) (k: 0.771) and webPSSM(SINSI)/geno2pheno (k: 0.574). Conversely, among non-B subtypes, a significative kappa index was only obtained for 13 combinations. Among non-B subtypes, the best concordance values were obtained for webPSSM(X4R5)/Wetcat(PART) (k: 0.600) and webPSSM(SINSI)/Charge rule (k: 0.590). A high concordance was observed between different genotypic algorithms to determine viral tropism among HIV-1 B subtypes infected patients, especially between webPSSM(SINSI) and geno2pheno or Wetcat. Conversely, the overall concordance among non-B subtypes was lower. This heterogeneity could be justified by the low prevalence of non B subtypes in the datasets in which the genotypic tropism predictors were trained.

A Highly Sensitive and Specific Model for Predicting HIV-1 Tropism in Treatment-Experienced Patients Combining Interpretation of V3 Loop Sequences and Clinical Parameters

Phenotypic assays are considered the gold standard for HIV-1 tropism assessment. However, they are expensive and not widely available. Genotypic assays may provide an easier alternative, but their sensitivity remains low. We hypothesize that combining clinical data with V3 sequences may improve the diagnostic accuracy of genotypic tools. We analyzed clinical and biological data from 159 HIV-1-infected adults, 88 (56%) of whom were treatment experienced. Coreceptor phenotype was performed with Trofile and ES Trofile assay. V3 loop sequences were interpreted according to genotypic algorithms available at website. Multivariate logistic regression analyses were used to identify variables predicting HIV-1 tropism. Cut-off values for the prediction of CXCR4-using virus were defined. A total of 170 samples with phenotypic and genotypic determination of HIV-1 tropism were included. When only treatment-experienced patients were selected, a predictive model of HIV-1 tropism had an area under the receiver operating characteristic curve of 0.966 (95% confidence interval: 0.930 to 1.000, P < 0.001). The equation of the model included 2 bioinformatic tools (Geno2pheno-clinical model and net charge rule), the false positive rate score of Geno2pheno, and the following clinical data: exposure to more than 3 antiretroviral classes, years since HIV infection diagnosis and log10 HIV-1 RNA. A cut-off value ≥ 5.75 showed the highest accuracy to predict CXCR4 usage (96.6% sensitivity and 92.3% specificity). A genotypic-clinical model is highly accurate in predicting phenotypic tropism of HIV-1 in treatment-experienced patients. This may provide a cheap and rapid tool to select candidates for treatment with CCR5 antagonists in a routine clinical setting.

Quantum electrodynamics in two dimensions at a finite-temperature thermofield bosonization approach**The authors dedicate this work to the memory of Jorge André Swieca.

The Schwinger model at finite temperature is analyzed using the thermofield dynamics formalism. The operator solution due to Lowenstein and Swieca is generalized to the case of finite temperature within the thermofield bosonization approach. The general properties of the statistical–mechanical ensemble averages of observables in the Hilbert subspace of gauge invariant thermal states are discussed. The bare charge and chirality of the Fermi thermofields are screened, giving rise to an infinite number of mutually orthogonal thermal ground states. One consequence of the bare charge and chirality selection rule at finite temperature is that there are innumerably many thermal vacuum states with the same total charge and chirality of the doubled system. The fermion charge and chirality selection rules at finite temperature turn out to imply the existence of a family of thermal theta-vacua states parametrized with the same number of parameters as in the zero temperature case.

Performance of Genotypic Algorithms for Predicting HIV-1 Tropism Measured against the Enhanced-Sensitivity Trofile Coreceptor Tropism Assay

The objectives of this study were to assess the performance of genotypic algorithms for predicting CXCR4-using virus, with enhanced sensitivity Trofile HIV coreceptor tropism assay (ES Trofile) as the reference, and to compare the concordance/accuracy of genotypic tests with ES Trofile and with the original Trofile assay. Paired phenotypic and genotypic determinations of HIV-1 coreceptor usage were compared in plasma samples from HIV-1-infected patients. Sequencing of the third hypervariable (V3) loop of the viral gene and phenotypic assays were performed for each sample. Genotypic rules used to predict tropism were Geno2pheno (false-positive rate at 1 to 20%), position-specific scoring matrix X4R5 (PSSM(X4R5)) and PSSM(sinsi) (where "sinsi" stands for syncytium inducing and non-syncytium inducing), and the 11/25, 11/24/25, and net charge rules. Two hundred forty-four phenotypic and genotypic samples were tested. Coreceptor usage was obtained from ES Trofile for 145 (59%) samples and from Trofile for 99 (41%) samples. The highest concordance (82.6%) was obtained with PSSM(X4R5) when ES Trofile was used as the reference. Geno2pheno at a 20% false-positive rate showed the highest sensitivity (76.7%) for CXCR4-using virus detection with ES Trofile. Samples from naïve subjects and those with CD4 cell counts between 200 and 500 cells/mm(3) showed the best predictive performance. Overall, the accuracy of the bioinformatics tools to detect CXCR4-using virus was similar for ES Trofile and Trofile; however, the negative predictive values for genotypic tools with ES Trofile were slightly higher than they were with Trofile. The accuracy of genotypic algorithms for detecting CXCR4-using viruses is high when using ES Trofile as the reference. Results are similar to those obtained with Trofile. The concordance with ES Trofile is better with higher CD4 cell counts and nonexposure to antiretroviral therapy.

Low Frequency of CXCR4-Using Viruses in Patients at the Time of Primary Non-Subtype-B HIV-1 Infection

We used genotypic and phenotypic assays to estimate the frequency of X4/DM viruses in 131 patients infected with non-subtype-B viruses at the time of primary HIV-1 infection (PHI). All patients were enrolled in the French PRIMO Cohort from 1996 to 2007. Most strains belonged to CRF02_AG (51.1%) and subtype A (14.5%). Sixteen viruses (12.2%) were classified as CXCR4 tropic ("X4 strains") by the combined criteria of amino acids 11 and 25 of the V3 loop (11/25) and net charge rules and/or the SVMgeno2pheno(10%) algorithm: 6 strains by the combined genotypic rule, 7 by the SVMgeno2pheno(10%) algorithm, and 3, clustering in subtype D, by both algorithms. However, only one strain (0.8%), belonging to subtype A, was defined as a dual-tropic (DM) virus by the phenotypic assay. The 67 CRF02_AG strains included 2 classified as X4 strains by the combined genotypic rule (3%) and 2 others classified as X4 strains by SVMgeno2pheno(10%) (3%), but none of these 4 strains was an X4 or DM strain according to the phenotypic assay. These results suggest that the cellular virus reservoir was established with X4 strains in very few non-subtype-B-infected patients at the time of PHI. Genotypic predictions can overestimate the proportion of non-subtype-B X4 viruses at PHI.

Charge and Current Sum Rules in Quantum Media Coupled to Radiation II

This paper is a continuation of the previous study [\v{S}amaj, L.: J. Stat. Phys. {\bf 137}, 1-17 (2009)], where a sequence of sum rules for the equilibrium charge and current density correlation functions in an infinite (bulk) quantum media coupled to the radiation was derived by using Rytov's fluctuational electrodynamics. Here, we extend the previous results to inhomogeneous situations, in particular to the three-dimensional interface geometry of two joint semi-infinite media. The sum rules derived for the charge-charge density correlations represent a generalization of the previous ones, related to the interface dipole moment and to the long-ranged tail of the surface charge density correlation function along the interface of a conductor in contact with an inert (not fluctuating) dielectric wall, to two fluctuating semi-infinite media of any kind. The charge-current and current-current sum rules obtained here are, to our knowledge, new. The current-current sum rules indicate a breaking of the directional invariance of the diagonal current-current correlations by the interface. The sum rules are expressed explicitly in the classical high-temperature limit (the static case) and for the jellium model (the time-dependent case).